In particular, the contribution \(N_M\)  associated with the ADM mass \(M\)  is the
same as the one for the Schwarzschild metric [1]} and diverges for
the exact occupation numbers \(g_M\)  given in Eq. (REF ).
This divergence implies that the \(g_M=g_M(k)\)  which are realised in Nature must have
different IR and UV behaviours, and that the corresponding metric must therefore differ
from the classical expression.
